32789136 has 80 divisors (see below), whose sum is σ = 90123200. Its totient is φ = 10243584.

The previous prime is 32789131. The next prime is 32789137. The reversal of 32789136 is 63198723.

It is a junction number, because it is equal to n+sod(n) for n = 32789094 and 32789103.

It is not an unprimeable number, because it can be changed into a prime (32789131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143070 + ... + 143298.

It is an arithmetic number, because the mean of its divisors is an integer number (1126540).

Almost surely, 2^32789136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32789136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45061600).

32789136 is an abundant number, since it is smaller than the sum of its proper divisors (57334064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32789136 is a wasteful number, since it uses less digits than its factorization.

32789136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 410 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 32789136 is about 5726.1798784181. The cubic root of 32789136 is about 320.0687872957.

The spelling of 32789136 in words is "thirty-two million, seven hundred eighty-nine thousand, one hundred thirty-six".